We have two lines : $$L_1 : a_1x+b_1y+c_1=0,\quad L_2 : a_2x+b_2y+c_2=0$$ and the angle bisectors : $$L_{\pm} : \frac{a_1x+b_1y+c_1}{\sqrt{a_1^2+b_1^2}}=\pm\frac{a_2x+b_2y+c_2}{\sqrt{a_2^2+b_2^2}}$$ If we let $\theta$ be the (smaller) angle between $L_+$ and $L_1$, then we have $$\cos\theta=\frac{\left|a_1\left(\frac{a_1}{\sqrt{a_1^2+b_1^2}}-\frac{ ...
Tomatoes run on warmth; plant in late spring and early summer except in zone 10, where they are a fall and winter crop. Devote a prime, sunny spot to growing tomatoes. Tomatoes need at least 6 to 8 hours of sun to bring out their best flavors.
The best time to set out tomato plants is after danger of frost, which is usually anytime in April, May or early June. If you started seed indoors, the seedlings should be about 6 to 8 inches tall and hardened off before transplanting outside.he best time to sow seeds directly into the garden is after all danger of frost and soil has warmed, usually in May. Prepare the soil by amending with compost, peat moss or leaf mold, and deeply spade or plow the area. When sowing seeds, place three seeds in a 1/2-inch-deep hole with 1 inch between holes.